Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 771/47, 713/4235 quickly i.e. 549723 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 771/47, 713/4235 is 549723.
LCM(771/47, 713/4235) = 549723
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 771/47,713/4235
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 771,713
Least Common Multiple of Numerators i.e. LCM of 771,713 is 549723.
GCF of Denominators means GCF of 47,4235 as per the given fractions.
GCF of 47,4235 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 771,713
Given numbers has no common factors except 1. So, there LCM is their product i.e 549723
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 771,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(771,713) x common factors =1 x 1 = 1
LCM(771,713) = ( 771 × 713 ) / 1
LCM(771,713) = 549723 / 1
LCM(771,713) = 549723
Lets's calculate GCF of 47,4235
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 549723/1
Therefore the LCM of Fractions 771/47,713/4235 is 549723
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 4235
List of positive integer factors of 4235 that divides 4235 without a remainder.
1,5,7,11,35,55,77,121,385,605,847,4235
Greatest Common Factor
We found the factors 47,4235 . The biggest common factor number is the GCF number.
So the greatest common factor 47,4235 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 771/47, 713/4235?
Answer: LCM of Numerators as per given numbers 771/47, 713/4235 is
LCM of Numerators i.e. for 771,713 is 549723
GCF of denominators i.e. for 47,4235 is 1.
Thus, LCM of Fractions is 549723.Finally, LCM of Fractions for 771/47, 713/4235 is 549723.